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Integration by substitution

1. Compute each indefinite integral.

(a) (12x)5dx  solution

(b) x21+x3dx  solution

(c) x2(x32)7dx  solution

(d) x12x25dx  solution

(e) exdx  solution

(f) e3x1dx   solution

(g) x1x2dx  Solution

(h)(t2)3t212tdt   Solution

2. Find the indefinite integral.

(i) ex5x4dxsolution

(ii) x24x312x+6dxsolution

(iii) x8x97dx   solution

(iv) e5x2+e5xdx  solution

3. Compute the following definite integral.

  1. 11x(x2+1)2dx  Solution 
  2. 10x5x2+4dx  Solution 
  3. 21x(x2+3)2dx   Solution 
  4. 10x+2x2+4xdx    Solution
  5. 40exxdx   Solution